how would a small bar magnet be oriented when placed at position x?

Explanation:

Step1: Recall magnetic - field line property

Magnetic field lines point from the north pole of a magnet to the south pole outside the magnet. A small bar magnet will align itself along the magnetic - field lines.

Step2: Analyze the direction of the field line at position X

At position X, the magnetic - field line is horizontal and points to the left. The north pole of the small bar magnet will point in the direction of the magnetic - field line.

Answer:

B.